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Mathematics

Calculus 1 studies rate of change in functions while learning methods, techniques and applications as a whole. Isaac Newton used calculus to develop his laws of motion and theories on gravity. Discover how Tangent Lines and Limits represent the slopes of curves at specific points and used to find Maximum and Minimum Values of a Function. Building upon the basic mathematical knowledge that covers different types of functions, such as exponential or quadratic, Calculus 1 elevates your comprehension in Rules of Differentiation. Finding the derivatives of functions, including Derivatives of Trigonometric Functions, will challenge your skill set and elevate you to a more advanced level within the Mathematics department. Calculus 1 is an important branch to mathematics offering a variety of Applications of Differentiation that open the doors to advanced topics in physics, engineering, and other sciences.

- Introduction to Limits
- The Limit Laws
- Limits and Continuity
- Tangent Lines and Limits
- Introduction to Derivatives
- Rules of Differentiation
- Derivatives of Exponential & Logarithmic Functions
- Derivatives of Trigonometric Functions
- Maximum and Minimum Values of a Function
- Determining the Shape of a Function
- L'Hopital's Rule
- Applications of Differentiation
- Introduction to Integrals
- Simple Methods for Evaluating Integrals
- More Complex Methods for Evaluating Integrals
- Applications of Integrations
- Sequences and Series

Study fundamental topics in college-level algebra with emphasis on application.

Grasp core concepts of statistics such as probability distributions, approximations, and hypothesis-testing.

The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 26 of Sophia's online courses for college credit. These courses are eligible to transfer to many different colleges and universities.